Twisted Sums of Banach and Nuclear Spaces

DOI10.2307/2046505zbMath0595.46002OpenAlexW3143262925MaRDI QIDQ3726757

Paweł Domański

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046505

zbMATH Keywords

liftingcomplemented subspaceKöthe sequence spacestwisted sum of topological vector spacesand a Banach space Z splits tooevery locally convex twisted sum of a nuclear Fréchet space Yevery locally convex twisted sum of a nuclear Fréchet space Y and a Banach space Z splits tooevery twisted sum of a Banach space Y and a nuclear space Z splits

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Projective and injective objects in functional analysis (46M10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (2)

The Ext group in the categories of topological abelian groups and topological vector spaces ⋮ A splitting theorem for the space of smooth functions

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